Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1218 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 1218 conjugacy classes of subgroups — too many to draw. Only its 219 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#88124 | C2 | semidirect |
| 2. C2×#11718374 | C2 | semidirect |
| 4. #13115983 | C2 | semidirect |
| 5. #13115805 | C2 | semidirect |
| 6. #13115151 | C2 | semidirect |
| 7. C13×#1749 | C2 | semidirect |
| 54. #88124 | D4 | semidirect |
| 105. #1749 | D13 | semidirect |
| 164. C22×C13 | #490 | semidirect |
| 259. C13 | #25913 | semidirect |
| 304. C22 | #11718374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88124 | 2 |
| C2×#11718374 | 2 |
| #13123181 | 2 |
| #13115983 | 2 |
| #13115805 | 2 |
| #13115151 | 2 |
| C13×#1749 | 2 |
| #25913 | 13 |